A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS  

作　　者：石东洋 任金城 龚伟 

机构地区：[1]Department of Mathematics, Zhengzhou University [2]Department of Mathematics, Shangqiu Normal University [3]Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

出　　处：《Acta Mathematica Scientia》2011年第2期367-382,共16页数学物理学报（B辑英文版）

基　　金：supported by NSF of China(10671184)

摘　　要：In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order Crouzeix- Raviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L2-norm are established, as well as one in broken H1-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis.In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order Crouzeix- Raviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L2-norm are established, as well as one in broken H1-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis.

关 键 词：Stationary Navier-Stokes equations nonconforming mixed finite elementscheme optimal order error estimates 

分 类 号：O241.82[理学—计算数学]